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Finding the Fourth Proportional to 12,897.46, 19,329.18 and 5,102.02

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Solution

The fourth proportional to 12,897.46, 19,329.18 and 5,102.02 is: 7,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.46 : 19,329.18 = 5,102.02 : x
  2. Step 2: Convert to fraction form
    12,897.46/19,329.18 = 5,102.02/x
  3. Step 3: Cross multiply
    12,897.46x = 19,329.18 × 5,102.02
  4. Step 4: Simplify right side
    12,897.46x = 98,617,862.94
  5. Step 5: Solve for x
    x = 98,617,862.94/12,897.46
  6. Step 6: Final answer
    x = 7,646.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.